My TS is a PM 66, and I normally cut on the right, except that I will cut on the left if I need to make many passes, for example when making many nearly identical cuts. Then I stand at the side of the saw and feed things through. The other, perhaps more common time that I use the left side of the saw is when the right side has stuff on it, and I am lazy enough to just cut on the left.
I am nominally left handed, but thanks to the nuns in grade school, I am somewhat ambidextrous, although equally uncoordinated on each hand. Oh, and their whacking my left hand with the ruler just meant that I had crappy handwriting regardless of which hand I use.